I can confirm this is an issue with the es_ES.phar (Spanish β Spain) language pack in all versions of 1.16.x.
When that pack is installed as a secondary language, and the currently logged in user has selected it as their default language, the Profile page no longer works as expected.
For example, the Preferences and Signature tabs are not clickable, and the user cannot change their password or configure 2FA options.
Fortunately one can go back to Admin Panel> System and disable the Spanish pack. Once the currently logged in user is using English again (or any other language, as far as I can tell) everything works as expected.